Atlas1,963 of 3,915

II.C.192

m₃ = 0.5

From Li & Liao (2017)

II.C.192 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 171.6 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 2.224), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000199 of each other at a top speed of 259, line up 222 times a period, and the computed loop closes to 2.0×10⁻²².

Measured over one period

Period: 171.5975520
Masses: 1 : 1 : 0.5
Energy: -1.00896
Angular momentum: 0
Closest approach: 2.0×10⁻⁵
Top speed: 258.8
Path length: 412.00
Alignments per period: 222
Stability: weakly unstable (|λ|max 2.224)
Loop closure: 2.0×10⁻²²

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.